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Finding the Fourth Proportional to 10,344.84, 14,274 and 5,868.78

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Solution

The fourth proportional to 10,344.84, 14,274 and 5,868.78 is: 8,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.84 : 14,274 = 5,868.78 : x
  2. Step 2: Convert to fraction form
    10,344.84/14,274 = 5,868.78/x
  3. Step 3: Cross multiply
    10,344.84x = 14,274 × 5,868.78
  4. Step 4: Simplify right side
    10,344.84x = 83,770,965.72
  5. Step 5: Solve for x
    x = 83,770,965.72/10,344.84
  6. Step 6: Final answer
    x = 8,097.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.